Analytic programming in the task of evolutionary synthesis of the robust controller for selected discrete chaotic systems

Abstract

This research deals with a utilization of a tool for symbolic regression, which is analytic programming, for the purpose of the synthesis of a new robust control law. This universal synthesized robust chaotic controller secures the fully stabilization of selected set of discrete chaotic systems. The paper consists of the descriptions of analytic programming as well as selected chaotic systems, used heuristic and cost function. For experimentation, Self-Organizing Migrating Algorithm (SOMA) and Differential evolution (DE) were used.